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<div class="title">gtc/quaternion.hpp</div>  </div>
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<a href="a00076.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;</div>
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<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#ifndef GLM_GTC_quaternion</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_GTC_quaternion GLM_VERSION</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &quot;../gtc/half_float.hpp&quot;</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(glm_ext))</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#       pragma message(&quot;GLM: GLM_GTC_quaternion extension included&quot;)</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword">namespace </span>glm{</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;{</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">struct </span>tquat<span class="comment">// : public genType&lt;T, tquat&gt;</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                <span class="keyword">enum</span> ctor{null};</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                <span class="keyword">typedef</span> T value_type;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                <span class="keyword">typedef</span> std::size_t size_type;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                value_type x, y, z, w;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                GLM_FUNC_DECL size_type <a class="code" href="a00131.html#ga282360c8bb80b80d3c7f5bc00766d873" title="Returns the length of x, i.e., sqrt(x * x).">length</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                <span class="comment">// Constructors</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                tquat();</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                <span class="keyword">explicit</span> tquat(</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                        value_type <span class="keyword">const</span> &amp; s, </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                        glm::detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                <span class="keyword">explicit</span> tquat(</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                        value_type <span class="keyword">const</span> &amp; w, </div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                        value_type <span class="keyword">const</span> &amp; x, </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                        value_type <span class="keyword">const</span> &amp; y, </div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                        value_type <span class="keyword">const</span> &amp; z);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                <span class="comment">// Convertions</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                <span class="keyword">explicit</span> tquat(</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                        tvec3&lt;T&gt; <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#gaa53e0e8933e176c6207720433fb8dd2b" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                <span class="keyword">explicit</span> tquat(</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                        tmat3x3&lt;T&gt; <span class="keyword">const</span> &amp; m);</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                <span class="keyword">explicit</span> tquat(</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                        tmat4x4&lt;T&gt; <span class="keyword">const</span> &amp; m);</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                <span class="comment">// Accesses</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                value_type &amp; operator[](<span class="keywordtype">int</span> i);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                value_type <span class="keyword">const</span> &amp; operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                <span class="comment">// Operators</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                tquat&lt;T&gt; &amp; operator*=(value_type <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                tquat&lt;T&gt; &amp; operator/=(value_type <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        };</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        detail::tquat&lt;T&gt; operator- (</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        detail::tquat&lt;T&gt; operator+ ( </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; p); </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        detail::tquat&lt;T&gt; operator* ( </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; p); </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        detail::tvec3&lt;T&gt; operator* (</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        detail::tvec3&lt;T&gt; operator* (</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        detail::tvec4&lt;T&gt; operator* (</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                detail::tvec4&lt;T&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        detail::tvec4&lt;T&gt; operator* (</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                detail::tvec4&lt;T&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        detail::tquat&lt;T&gt; operator* (</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        detail::tquat&lt;T&gt; operator* (</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s,</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        detail::tquat&lt;T&gt; operator/ (</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;} <span class="comment">//namespace detail</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        T <a class="code" href="a00131.html#ga282360c8bb80b80d3c7f5bc00766d873" title="Returns the length of x, i.e., sqrt(x * x).">length</a>(</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00131.html#ga68b931c228750eeba844c273c54ca43d" title="Returns a vector in the same direction as x but with length of 1.">normalize</a>(</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                </div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        T <a class="code" href="a00131.html#ga7a31d2864eccfe665409e3b44f5e6e8d" title="Returns the dot product of x and y, i.e., result = x * y.">dot</a>(</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q1, </div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q2);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00129.html#ga3f64b3986efe205cf30300700667e761">mix</a>(</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x, </div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; y, </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00153.html#ga91c6605e46a8c70c8e25bbc0f41da181" title="Linear interpolation of two quaternions.">lerp</a>(</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x, </div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; y, </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00153.html#ga4acb60c1b472fc6cb5322a63ca1cf9a4" title="Spherical linear interpolation of two quaternions.">slerp</a>(</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x, </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; y, </div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;                T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00153.html#ga8b6594dffb8bf455d848ffa2169ba41d" title="Returns the q conjugate.">conjugate</a>(</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00133.html#gada3384a86cf38a1fd96275194b8ba8c0" title="Return the inverse of a mat2 matrix.">inverse</a>(</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00151.html#gaacb9cbe8f93a8fef9dc3e25559df19c0" title="Builds a rotation 4 * 4 matrix created from an axis vector and an angle.">rotate</a>(</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; q, </div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                <span class="keyword">typename</span> detail::tquat&lt;T&gt;::value_type <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                detail::tvec3&lt;T&gt; <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>);</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        detail::tvec3&lt;T&gt; <a class="code" href="a00153.html#gaa53e0e8933e176c6207720433fb8dd2b" title="Returns euler angles, yitch as x, yaw as y, roll as z.">eulerAngles</a>(</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        valType <a class="code" href="a00153.html#ga7ef4c8c1ce1ca988add2f73392db0a06" title="Returns roll value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees oth...">roll</a>(</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;                detail::tquat&lt;valType&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        valType <a class="code" href="a00153.html#gaf2a0323dbf6c6fb3f37b445aa899c1c7" title="Returns pitch value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees ot...">pitch</a>(</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;                detail::tquat&lt;valType&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;        valType <a class="code" href="a00153.html#gaac012c1a6bc37ce07a87745d9c596eed" title="Returns yaw value of euler angles expressed in radians if GLM_FORCE_RADIANS is define or degrees othe...">yaw</a>(</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                detail::tquat&lt;valType&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;        detail::tmat3x3&lt;T&gt; <a class="code" href="a00153.html#gae04ce320008c9bec0037b4ba21853cb5" title="Converts a quaternion to a 3 * 3 matrix.">mat3_cast</a>(</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        detail::tmat4x4&lt;T&gt; <a class="code" href="a00153.html#ga8c376eb15971eb52d85df5ee26825627" title="Converts a quaternion to a 4 * 4 matrix.">mat4_cast</a>(</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;                detail::tquat&lt;T&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;                detail::tmat3x3&lt;T&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        detail::tquat&lt;T&gt; <a class="code" href="a00153.html#ga4d37447d81ceade1d10d68c995a4d881" title="Converts a 3 * 3 matrix to a quaternion.">quat_cast</a>(</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;                detail::tmat4x4&lt;T&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        valType <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>(</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;                detail::tquat&lt;valType&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;        detail::tvec3&lt;valType&gt; <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>(</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;                detail::tquat&lt;valType&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        detail::tquat&lt;valType&gt; <a class="code" href="a00153.html#gaafc03953867e42a39dc08575ad4532ad" title="Build a quaternion from an angle and a normalized axis.">angleAxis</a>(</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;                valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;                valType <span class="keyword">const</span> &amp; x, </div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;                valType <span class="keyword">const</span> &amp; y, </div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;                valType <span class="keyword">const</span> &amp; z);</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> valType&gt; </div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        detail::tquat&lt;valType&gt; <a class="code" href="a00153.html#gaafc03953867e42a39dc08575ad4532ad" title="Build a quaternion from an angle and a normalized axis.">angleAxis</a>(</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;                valType <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga69041d18bd8539fe82d6170932d28362" title="Returns the quaternion rotation angle.">angle</a>, </div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;                detail::tvec3&lt;valType&gt; <span class="keyword">const</span> &amp; <a class="code" href="a00153.html#ga72457604550d0414e522dbec0d98f276" title="Returns the q rotation axis.">axis</a>);</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;</div>
<div class="line"><a name="l00344"></a><span class="lineno"><a class="code" href="a00153.html#ga60408579db470456070a3336295625a7">  344</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;float&gt; <a class="code" href="a00153.html#ga60408579db470456070a3336295625a7" title="Quaternion of floating-point numbers.">quat</a>;</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;</div>
<div class="line"><a name="l00349"></a><span class="lineno"><a class="code" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3">  349</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;detail::half&gt;     <a class="code" href="a00153.html#gaba1bbdeae84c942ce0dc83af40e1d7d3" title="Quaternion of half-precision floating-point numbers.">hquat</a>;</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;</div>
<div class="line"><a name="l00354"></a><span class="lineno"><a class="code" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662">  354</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;float&gt;    <a class="code" href="a00153.html#gaae07c293efbe1c530ff18044a15fe662" title="Quaternion of single-precision floating-point numbers.">fquat</a>;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;</div>
<div class="line"><a name="l00359"></a><span class="lineno"><a class="code" href="a00153.html#ga5428321324094c7170d6133c8139d255">  359</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;double&gt;   <a class="code" href="a00153.html#ga5428321324094c7170d6133c8139d255" title="Quaternion of double-precision floating-point numbers.">dquat</a>;</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;</div>
<div class="line"><a name="l00364"></a><span class="lineno"><a class="code" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594">  364</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;lowp_float&gt;               <a class="code" href="a00153.html#ga5acd0f3e9f9e3c0e6577440443ec4594" title="Quaternion of low precision floating-point numbers.">lowp_quat</a>;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;</div>
<div class="line"><a name="l00369"></a><span class="lineno"><a class="code" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8">  369</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;mediump_float&gt;    <a class="code" href="a00153.html#gae93fe73ea5fe5e2150c2eb0641394dc8" title="Quaternion of medium precision floating-point numbers.">mediump_quat</a>;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;</div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="code" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c">  374</a></span>&#160;        <span class="keyword">typedef</span> detail::tquat&lt;highp_float&gt;              <a class="code" href="a00153.html#ga8a7c2c751ad30db9ec4268a6b7d99f6c" title="Quaternion of high precision floating-point numbers.">highp_quat</a>;</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;<span class="preprocessor">#include &quot;quaternion.inl&quot;</span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;<span class="preprocessor">#endif//GLM_GTC_quaternion</span></div>
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